Peterson Isomorphism in $K$-theory and Relativistic Toda Lattice

Takeshi Ikeda, Shinsuke Iwao, Toshiaki Maeno

The $K$-homology ring of the affine Grassmannian of $S{L}_n(C)$ was studied by Lam, Schilling, and Shimozono. It is realized as a certain concrete Hopf subring of the ring of symmetr…